Let`s Do Algebra Tiles
... Let the small green square represent +1 and the small red square (the flipside) represent -1. ...
... Let the small green square represent +1 and the small red square (the flipside) represent -1. ...
Lecture: More Number Theory
... n=2. So, this takes care of the base case. Assume for n=k, we have that If p is prime and ai for 1 i k, are positive integers, and if p | a1a2... ak then p | ai for some 1 i k. Now, we must prove for n= k+1 that If p is prime and ai for 1 i k+1, are positive integers, and if p | a1a2... ...
... n=2. So, this takes care of the base case. Assume for n=k, we have that If p is prime and ai for 1 i k, are positive integers, and if p | a1a2... ak then p | ai for some 1 i k. Now, we must prove for n= k+1 that If p is prime and ai for 1 i k+1, are positive integers, and if p | a1a2... ...
chapter 2 (from IBO site) File
... e.g. To find the LCM of 6 and 8: Multiples of 6: {6, 12, 18, 24, 30, 36, 42, 48…} Multiples of 8: {8, 16, 24, 32, 40, 48, 56, 64…} The LCM is therefore 24 as it is the smallest number that appears in both lists. Factors: Numbers which divide exactly into a natural number e.g. to find factors of 24: ...
... e.g. To find the LCM of 6 and 8: Multiples of 6: {6, 12, 18, 24, 30, 36, 42, 48…} Multiples of 8: {8, 16, 24, 32, 40, 48, 56, 64…} The LCM is therefore 24 as it is the smallest number that appears in both lists. Factors: Numbers which divide exactly into a natural number e.g. to find factors of 24: ...
LINES OF BEST FIT and LINEAR REGRESSION and
... Left Bound: move the cursor to the left of the minimum (bottom of valley) ENTER Right Bound: move the cursor to the right of the minimum (bottom of valley) ENTER Guess: move the cursor to the minimum (bottom of valley)ENTER To find the ROOTS/ ZEROS/ X-INTERCEPTS: [Y =] make Y1 = Equation and Y2 = 0 ...
... Left Bound: move the cursor to the left of the minimum (bottom of valley) ENTER Right Bound: move the cursor to the right of the minimum (bottom of valley) ENTER Guess: move the cursor to the minimum (bottom of valley)ENTER To find the ROOTS/ ZEROS/ X-INTERCEPTS: [Y =] make Y1 = Equation and Y2 = 0 ...
![arXiv:1010.2685v1 [physics.optics] 13 Oct 2010](http://s1.studyres.com/store/data/020802655_1-4639143493fc4ed9838d2a5c6779e83a-300x300.png)
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.